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Back to 15.3 Problems on Random Selection

15.3 Exercise 4

Avg difficulty 2.5

(See Example 7 from "Conditional Expectation, Regression") A number X is chosen by a random selection from the integers 1 through 20 (say by drawing a card from a box). A pair of dice is thrown X times. Let Y be the number of “matches” (i.e., both ones, both twos, etc.). Determine the distribution for Y.

Pfeiffer, Applied Probability, 15.3 Problems on Random Selection, exercise 4

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.